Large deviations for discrete $β$-ensembles
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866913623760175104 |
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| author | Das, Sayan Dimitrov, Evgeni |
| author_facet | Das, Sayan Dimitrov, Evgeni |
| contents | We consider discrete $β$-ensembles as introduced by Borodin, Gorin and Guionnet in (Publications math{\' e}matiques de l'IH{\' E}S 125, 1-78, 2017). Under general assumptions, we establish a large deviation principle for their rightmost particle. We apply our general results to two classes of measures that are related to Jack symmetric functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_15227 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Large deviations for discrete $β$-ensembles Das, Sayan Dimitrov, Evgeni Probability Mathematical Physics 60F10, 82B05 We consider discrete $β$-ensembles as introduced by Borodin, Gorin and Guionnet in (Publications math{\' e}matiques de l'IH{\' E}S 125, 1-78, 2017). Under general assumptions, we establish a large deviation principle for their rightmost particle. We apply our general results to two classes of measures that are related to Jack symmetric functions. |
| title | Large deviations for discrete $β$-ensembles |
| topic | Probability Mathematical Physics 60F10, 82B05 |
| url | https://arxiv.org/abs/2103.15227 |